Question

What’s the value of n in the equation-1/2(2n+4)+6=-9+4(2n+1)

Answer 1

n = 13/7

Explanation:

Solve the equation

Step 1: Use distributive property to multiply out the terms with parenthesis

(1/2)(2n) + (1/2)(4) + 6 = -9 + 4(2n) + 4(1)

n + 2 + 6 = 9 + 8n + 4

Step 2: combine like terms...

n + 8 = 8n - 5

Step 3: Get all "n's" to one side, and all constants on the other and solve

13 = 7n (subtract n from both sides and add 5 to both sides)

13/7 = n (divide both side by 7)

Answer 2

n=13/7

Explanation:

2n+4+6*2=-9*2+8(2n+1)

2n+4+12=-18+16n+8

16+18=16n-2n+8

34=14n+8

34-8=14n

26=14n

n=13/7